Naslov
Damping optimization in vibrational systems based on amplitude

Autori
Denissen, Jonas ; Koskela, Antti ; Mena, Hermann ; Tomljanović, Zoran

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
The 21th International Symposium on Mathematical Theory of Networks and Systems, Groningen / - Groningen, 2014, 1222-1227

ISBN
978-90-367-6321-9

Skup
The 21th International Symposium on Mathematical Theory of Networks and Systems

Mjesto i datum
Groningen, Nizozemska, 07.07.2014. - 11.07.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
damping optimization ; vibrational system ;

Sažetak
We consider the optimal damping problem for a linear vibrational system Mx¨ + Dx˙ + Kx = 0, where M and K are positive definite matrices. For the damping optimization we use a criterion based on minimization of the integral of the solution’s amplitude over a given time interval. Finding the optimal damping D is a very demanding problem, and using this approach the computational cost comes mainly from a large number of matrix exponential computations. We propose an efficient numerical scheme to accelerate these computations. The performance of our approach is illustrated by numerical results for an n-mass oscillator.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA